An Electron Model Based on the Fine Structure Constant
- 1 Independent Researcher, Palo Alto, CA, USA
Abstract
In previous publications, the author has proposed a model of the electron’s internal structure, wherein a positively-charged negative mass outer shell and a negatively-charged positive mass central core are proposed to resolve the electron’s charge and mass inconsistencies. That model is modified in this document by assuming the electron’s radius is exactly equal to the classical electron radius. The attributes of the internal components of the electron’s structure have been recalculated accordingly. The shape of the electron is also predicted, and found to be slightly aspherical on the order of an oblate ellipsoid. This shape is attributed to centrifugal force and compliant outer shell material. It is interesting to note that all of the electron’s attributes, both external and internal, with the exception of mass and angular moment, are functions of the fine structure constant a, and can be calculated from just three additional constants: electron mass, Planck’s constant, and speed of light. In particular, the ratios of the outer shell charge and mass to the electron charge and mass, respectively, are 3/2a. The ratios of the central core charge and mass to the electron charge and mass, respectively, are 1-(3/2a). Attributes of the electron are compared with those of the muon. Charge and spin angular momentum are the same, while mass, magnetic moment, and radius appear to be related by the fine structure constant. The mass of the electron outer shell is nearly equal to the mass of the muon. The muon internal structure can be modeled exactly the same as for the electron, with exactly the same attribute relationships.
- Young, A. (2022) Journal of Modern Physics, 13, 1287-1294. https://doi.org/10.4236/jmp.2022.139077
- NIST (2018) 2018 CODATA Value: Fine-Structure Constant. The NIST Reference on Constants, Units, and Uncertainty. https://physics.nist.gov/cgi-bin/cuu/Value?alph
- NIST (2018) 2018 CODATA Value: Planck Constant. The NIST Reference on Constants, Units, and Uncertainty. https://physics.nist.gov/cgi-bin/cuu/Value?h
- NIST (2018) 2018 CODATA Value: Speed of Light in Vacuum. The NIST Reference on Constants, Units, and Uncertainty. https://physics.nist.gov/cgi-bin/cuu/Value?c
- NIST (2018) 2018 CODATA Value: Electron Mass. The NIST Reference on Constants, Units, and Uncertainty. https://physics.nist.gov/cgi-bin/cuu/Value?me|search_for=electron+mass
- Nave, C.R. (2016) Electron Spin. HyperPhysics, Dept. of Physics and Astronomy, Georgia State University, Atlanta. http://hyperphysics.phy-astr.gsu.edu/hbase/spin.html
- NIST (2018) 2018 CODATA Value: Elementary Charge. The NIST Reference on Constants, Units, and Uncertainty. https://physics.nist.gov/cgi-bin/cuu/Value?e
- Yavorsky, B. and Detlaf, A. (1975) Handbook of Physics. Mir Publishers, Moscow, 477.
- NIST (2018) 2018 CODATA Value: Electron g-Factor. The NIST Reference on Constants, Units, and Uncertainty. https://physics.nist.gov/cgi-bin/cuu/Value?eqgem
- Aoyama, T., Kinoshita, T. and Nio, M. (2019, February 22) Atoms, 7, 28. https://www.mdpi.com/2218-2004/7/1/28/htm https://doi.org/10.3390/atoms7010028
- McDonald, K.T. (2008, August 10) Electromagnetic Fields of a Rotating Shell of Charge. Joseph Henry Laboratories, Princeton University, Princeton. https://www.google.com/url?sa=t&rct=j&q=&esrc=s&source=web&cd=&ved=2ahUKEwii0fvEyLb9AhXJiO4BHReXBIEQFnoECCUQAQ&url=http%3A%2F%2Fkirkmcd.princeton.edu%2Fexamples%2Frotatingshell.pdf&usg=AOvVaw3nuuv3640EW2oztXV2nNdL
- Weisstein, E.W. (2007) Electron Radius. Wolfram Research, Champaign. https://scienceworld.wolfram.com/physics/ElectronRadius.html
- Young, A. (2023) Journal of Modern Physics, 14, 198-207. https://doi.org/10.4236/jmp.2023.143014
- Young, A. (2022) Journal of Modern Physics, 13, 1117-1127. https://doi.org/10.4236/jmp.2022.137064
- NIST (2018) 2018 CODATA Value: Electron Magnetic Moment. The NIST Reference on Constants, Units, and Uncertainty. https://physics.nist.gov/cgi-bin/cuu/Value?muem